[" If "csc theta-sin theta=1" and "sec theta-cos theta=m],[" prove that "ell^(2)m^(2)(l^(2)+m^(2)+3)=1]

If csc theta-sin theta=l and sec theta-cos theta=m prove that l^(2)m^(2)(l^(2)+m^(2)+3)=1

If cos ec theta-sin theta=I and sec theta-cos theta=m then prove that I^(2)m^(2)(I^(2)+m^(2)+3)=1

If cos ec theta-sin theta=I and sec theta-cos theta-cos theta=m prove that I^(1)m^(2)(I^(2)+m^(2)+3)=1

If cosec theta- sin theta = m and sec theta - cos theta = n , prove that: (m^(2)n)^(2/3)+(n^(2)m)^(2/3)=1 .

If cos ec theta-sin theta=m and sec theta-cos theta=n prove that (m^(2)n)^((2)/(3))+(mn^(2))^((2)/(3))=1

If a cos theta+b sin theta=m and a sin theta-b cos theta=n, prove that a^(2)+b^(2)=m^(2)+n^(2)

If a cos theta+b sin theta=m and a sin theta-b cos theta=n, Prove that a^(2)+b^(2)=m^(2)+n^(2)

If "cosec" theta- sin theta=m^(3) and sec theta-cos theta=n^(3) , then prove that m^(2)n^(2)(m^(2)+n^(2))=1.

If cosec theta- sin theta= a^3, sec theta- cos theta= b^3 , prove that a^2b^2(a^2+b^2)=1 .

If csc theta-sin theta=a^(3),sec theta-cos theta=b^(3) Prove that :a^(2)b^(2)(a^(2)+b^(2))=1